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Finding the Fourth Proportional to 272,718.36, 409,139.51 and 83,195.67

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Solution

The fourth proportional to 272,718.36, 409,139.51 and 83,195.67 is: 124,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,718.36 : 409,139.51 = 83,195.67 : x
  2. Step 2: Convert to fraction form
    272,718.36/409,139.51 = 83,195.67/x
  3. Step 3: Cross multiply
    272,718.36x = 409,139.51 × 83,195.67
  4. Step 4: Simplify right side
    272,718.36x = 34,038,636,776.22
  5. Step 5: Solve for x
    x = 34,038,636,776.22/272,718.36
  6. Step 6: Final answer
    x = 124,812.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.